Finding the Third Proportional to 146,113 and 315,506

Step by Step Solution

1. Step 1: Write the proportion equation
   146,113 : 315,506 = 315,506 : x
2. Step 2: Convert to fraction form
   146,113/315,506 = 315,506/x
3. Step 3: Cross multiply
   146,113x = 315,506 × 315,506
4. Step 4: Simplify right side
   146,113x = 99,544,036,036
5. Step 5: Solve for x
   x = 99,544,036,036/146,113
6. Step 6: Final answer
   x = 681,281.17